Q: What is the total or count of factors of the number 115,201,380?

 A: 96

How do I find the total factors of the number 115,201,380?

Step 1

Find the prime factorization of the number 115,201,380.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
115,201,380
Factor Arrows
257,600,690
Factor Arrows
228,800,345
Factor Arrows
39,600,115
Factor Arrows
51,920,023
Factor Arrows
7274,289
Factor Arrows
1032,663

The prime factorization in exponential form is: 22 x 31 x 51 x 71 x 1031 x 2,6631

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

115,201,380 = 22 x 31 x 51 x 71 x 1031 x 2,6631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(115201380) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(115201380) = (3)(2)(2)(2)(2)(2)
Down Arrow
d(115201380) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 115,201,380 and how to find them.

Try the factor calculator.

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